Atkin-Lehner |
2- 3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824be |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-2.0045306793818E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 11+ 7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248616,-682935948] |
[a1,a2,a3,a4,a6] |
j |
-414908885277195049/48938737289595417 |
j-invariant |
L |
5.7008145232365 |
L(r)(E,1)/r! |
Ω |
0.079177979486353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2739e1 |
Quadratic twists by: -4 |